904566960 has 240 divisors, whose sum is σ = 3425718240. Its totient is φ = 219225600.

The previous prime is 904566959. The next prime is 904566967. The reversal of 904566960 is 69665409.

904566960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (904566967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259630 + ... + 263090.

It is an arithmetic number, because the mean of its divisors is an integer number (14273826).

Almost surely, 2^904566960 is an apocalyptic number.

904566960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904566960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712859120).

904566960 is an abundant number, since it is smaller than the sum of its proper divisors (2521151280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

904566960 is a wasteful number, since it uses less digits than its factorization.

904566960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 904566960 is about 30076.0196834621. The cubic root of 904566960 is about 967.1197231552.

The spelling of 904566960 in words is "nine hundred four million, five hundred sixty-six thousand, nine hundred sixty".